What is the Least Common Multiple of 46368 and 46374?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 46368 and 46374 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46368 and 46374, than apply into the LCM equation.

GCF(46368,46374) = 6
LCM(46368,46374) = ( 46368 × 46374) / 6
LCM(46368,46374) = 2150269632 / 6
LCM(46368,46374) = 358378272

Least Common Multiple (LCM) of 46368 and 46374 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46368 and 46374. First we will calculate the prime factors of 46368 and 46374.

Prime Factorization of 46368

Prime Factorization of 46374

Now multiplying the highest exponent prime factors to calculate the LCM of 46368 and 46374.

LCM(46368,46374) = 2⁵ × 3² × 7¹ × 23¹ × 59¹ × 131¹
LCM(46368,46374) = 358378272